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Alik [6]
2 years ago
14

If b is the midpoint of ac Ab = 2x and ac = 5x + 8 Find bc

Mathematics
1 answer:
gtnhenbr [62]2 years ago
4 0

Answer:

3x+8

Step-by-step explanation:

2x+bc=5x+8

bc=5x-2x+8

bc=3x+8

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The odds in favor of a spinner landing on blue is 2:7. What is the probability of a spinner NOT landing on blue?
Doss [256]

Answer:

7/9

Step-by-step explanation:

P(blue) = 2:7

This means there are 2 blue parts for every 7 nonblue parts. So 9 parts total! 2:7, then, should be thought of as 2/9.

P(not blue) = 1 - 2/9

                  = 7/9

Think about it: there must be a total probability of 1, so the probability of <em>not</em> getting blue must be 7/9.

3 0
2 years ago
Three consecutive odd integers have a sum of 27. Find the integers.
jek_recluse [69]

\sf \bf {\boxed {\mathbb {GIVEN:}}}

Sum of three consecutive odd integers = 27

\sf \bf {\boxed {\mathbb {TO\:FIND:}}}

The values of the three integers.

\sf \bf {\boxed {\mathbb {SOLUTION:}}}

\sf\purple{The\:three\:consecutive \:odd\:integers\:are\:7,\:9\:and\:11.}

\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}

Let us assume the three consecutive odd integers to be x, (x+2) and (x+4).

As per the condition, we have

Sum \:  \:  of \:  \:  the  \:  \: three \:  \:  consecutive \:  \:  odd \:  \:  integers  = 27

➺ \: x + (x + 2) + (x + 4) = 27

➺ \: x + x + 2 + x + 4 = 27

Now, collect the like terms.

➺ \: (x + x + x) + (2 + 4) = 27

➺ \: 3x + 6 = 27

➺ \: 3x = 27 - 6

➺ \: 3x = 21

➺ \: x =  \frac{21}{3} \\

➺ \: x = 7

Therefore, the three consecutive odd integers whose sum is 27 are \boxed{  7  }, \boxed{ 9   } and \boxed{ 11   } respectively.

\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}

⇢ 7 + 9 + 11 = 27

⇢ 27 = 27

⇢ L. H. S. = R. H. S.

\sf\blue{Hence\:verified.}

\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}

4 0
3 years ago
Write the equation of the line where slope is 12 and y-intercept is -1.
il63 [147K]
The answer is y=12x-1
7 0
2 years ago
The sum of Scott’s age and Greg’s age is 33 years. If Greg’s age is represented by g, what is Scott’s age in terms of g ?
lord [1]

Answer:

Scott will be represented as S

Step-by-step explanation:

5 0
2 years ago
Ben used 10 1/2 gallons to drive 4 3/4 hours. How many gallons did Ben use in 1 hour?
Kryger [21]

Answer:

About 2.2 gallons

Step-by-step explanation:

Create the following proportion:

\frac{10.5}{4.75} = \frac{x}{1}

Cross multiply.

10.5 x 1 = 10.5

4.75 x X = 4.75x

4.75x = 10.5

Divide both sides by 4.75x.

10.5/4.75 = 2.2

6 0
3 years ago
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